Quadratic Equation Class 10 Maths – Chapter 4

Quadratic Equation Class 10 Maths, deals with various concepts which are as under:-

  • Quadratic Equations
  • Solution of a Quadratic Equation by Factorisation
  • Solution of a Quadratic Equation by Completing the Square
  • Nature of Root




What are quadratic equation and examples

What is quadratic equations?

Quadratic equation is the equation in which the highest power of the variable is 2.
For example: ax²+bx+c=0

Check whether following are quadratic equations:

A)(x-1)²=3(x+2)

B)(x-1)³=x(x+1)²

 

Write a Quadratic equation from a Statement

A.The product of two consecutive positive integers is 210. We need to find the integers?

B.The area of a rectangle is 90m². The length of the rectangle is 3 more than the twice of the breadth. We need to find the length and breadth of the rectangle?




2. Solution of a Quadratic Equation by Factorisation – Quadratic Equation Class 10

  • Roots of Quadratic Equations
  • Solving Quadratic Equations by factoring

  • Solving Quadratic Equations by factoring Examples

  • Find two numbers when their sum and products are given

  • Finding value of unknown variable when root of Quadratic Equations is given




  • Finding Consecutive Numbers using Quadratic Equations

  • Quadratic Equation Word Problem 1

  • Quadratic Equation Word Problem 2

Solution of a Quadratic Equation by Completing the Square – Quadratic Equation Class 10

  • Finding roots by completing the square method

  • Using Quadratic Formula to find roots of a Quadratic Equation




Quadratic Equations roots by completing squares – Example 1

Nature of roots of quadratic equations

The nature of  roots depends on the value of b²-4ac
So if b²-4ac=0 then both the roots are real and equal.
If b²-4ac<0 then roots are not real.
If b²-4ac>0 then roots are distinct and real.

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